1. 2.6 S OLVING M ULTI -S TEP E QUATIONS I can solve equations of the form p(x + q) = r by using the distributive property.

2. D ISTRIBUTIVE PROPERTY When multiplying a factor by a sum (or difference), the product is the same as multiplying the factor by each term then adding or subtracting. Ex: 4(5 + 9) = 4(5) + 4(9) 4(14) = 20 + 36 56 = 56 Algebraically: p(x + q) = px + pq

3. P RACTICE 3(2x + 5) 8(4 – x) -6 (3x – 7)

4. U SING THE DISTRIBUTIVE PROPERTY Suppose you have 42 feet of fencing to enclose your garden. The width of the garden is 8.2 feet. What is the length if you were to use all of the fencing? Let x be the length Then, 2(x + 8.2) = 42 2x + 2(8.2) = 42 2x + 16.4 = 42 2x = 25.6 x = 12.8 ft

5. S TEPS TO S OLVE Distribute Combine any like terms Undo using inverse operations Check

6. Y OU TRY

7. M ORE THAN ONE WAY TO SOLVE

8. A SSIGNMENT PURPLE BOOK Odds p.62 #7-23, 27, 29